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• W2139319800 abstract "This work is concerned with stability of equilibria in the homogeneous (equal frequencies) Kuramoto model of weakly coupled oscillators. In 2012 [R. Taylor, J. Phys. A: Math. Theor. 45, 1–15 (2012)], a sufficient condition for almost global synchronization was found in terms of the minimum degree–order ratio of the graph. In this work, a new lower bound for this ratio is given. The improvement is achieved by a concrete infinite sequence of regular graphs. Besides, non standard unstable equilibria of the graphs studied in Wiley et al. [Chaos 16, 015103 (2006)] are shown to exist as conjectured in that work." @default.
• W2139319800 created "2016-06-24" @default.
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• W2139319800 date "2015-02-01" @default.
• W2139319800 modified "2023-10-18" @default.
• W2139319800 title "Exotic equilibria of Harary graphs and a new minimum degree lower bound for synchronization" @default.
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• W2139319800 doi "https://doi.org/10.1063/1.4907952" @default.
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